A new method to determine the diode ideality factor of real solar cell using Lambert W-function

Jain, Amit; Kapoor, Avinashi

doi:10.1016/j.solmat.2004.05.022

Cited by 97 publications

(53 citation statements)

References 14 publications

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“…Here, we observe a linear section of the curve (corresponding to the exponential part of the curve in panel (a)) where the device acts like a diode. The gradient of this linear section of curve is a good approximation to the reciprocal of the ideality factor, i.e., 1/N [19]. For this cell we find that N ≈ 3, which suggests that recombination in the bulk of the device is relatively unimportant (since it inherently gives rises to an ideality factor N = 1) and that instead the behavior is largely determined by the recombination at the material interfaces.…”

Section: Comparison To Experimentmentioning

confidence: 70%

A Model for the Operation of Perovskite Based Hybrid Solar Cells: Formulation, Analysis, and Comparison to Experiment

Foster¹,

Snaith²,

Leijtens³

et al. 2014

SIAM J. Appl. Math.

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Abstract. This work is concerned with the modeling of perovskite based hybrid solar cells formed by sandwiching a slab of organic lead halide perovskite (CH 3 NH 3 PbI 3−x Clx) photo-absorber between (n-type) acceptor and (p-type) donor materials-typically titanium dioxide and spiro. A model for the electrical behavior of these cells is formulated based on drift-diffusion equations for the motion of the charge carriers and Poisson's equation for the electric potential. It is closed by (i) internal interface conditions accounting for charge recombination/generation and jumps in charge carrier densities arising from differences in the electron affinity/ionization potential between the materials and (ii) ohmic boundary conditions on the contacts. The model is analyzed by using a combination of asymptotic and numerical techniques. This leads to an approximate-yet highly accurate-expression for the current-voltage relationship as a function of the solar induced photocurrent. In addition, we show that this approximate current-voltage relation can be interpreted as an equivalent circuit model consisting of three diodes, a resistor, and a current source. For sufficiently small biases the device's behavior is diodic and the current is limited by the recombination at the internal interfaces, whereas for sufficiently large biases the device acts like a resistor and the current is dictated by the ohmic dissipation in the acceptor and donor. The results of the model are also compared to experimental current-voltage curves, and good agreement is shown.

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Section: Comparison To Experimentmentioning

confidence: 70%

A Model for the Operation of Perovskite Based Hybrid Solar Cells: Formulation, Analysis, and Comparison to Experiment

Foster¹,

Snaith²,

Leijtens³

et al. 2014

SIAM J. Appl. Math.

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“…The (1) does not have an explicit solution. However, some methods based on the LambertW function have been proposed in papers [25,26]. The authors of those papers rearranged the (1) to the form presented below: …”

Section: Experimental Setup and Resultsmentioning

confidence: 99%

“…In the above presented equations Iph is assumed to be equal to the short circuit current (Isc). The detailed description of this method and (2-3) is presented in papers [25,26]. This method was used in this work to extract, from the experimental I−V characteristics, essential parameters of investigated solar cells.…”

Section: Experimental Setup and Resultsmentioning

confidence: 99%

Chosen Aspects Of Investigations Of Solar Cells With The Laser Beam Induced Current Technique

Chrobák¹,

Madej²,

Maliński³

2015

Metrology and Measurement Systems

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This paper presents maps of spatial distributions of the short circuit current Isc(x,y) and the open circuit voltage Uoc(x,y) of the investigated low cost solar cells. Visible differences in values of these parameters were explained by differences in the serial and shunt resistances determined for different points of solar cells from measurements of I−V characteristics. The spectral dependence of the photo voltage of solar cell is also shown, discussed and interpreted in the model of amorphous and crystal silicon.

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“…Since the dark current variation with V o is obtained from dark condition calculations, J o and n can easily be extracted from that variation [20,21].…”

Section: Modeling Multijunction Solar Cellmentioning

confidence: 99%

Modeling lattice-matched InP-based multijunction solar cells

Navruz¹

2017

Turk J Elec Eng & Comp Sci

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Currently, the multijunction solar cell structure gives the highest efficiency for photovoltaic solar cells. In this study, tandem, triple, and quadruple junction multijunction solar cell structures that include an InP subcell on InP substrate were investigated. A model that can calculate both the voltage-current characteristics and external quantum efficiency was demonstrated. The model gave fitted results with the experimental data for a single junction GaAs solar cell and a tandem solar cell that provides efficiency higher than 30%. The model was used to optimize the lattice-matched AlAsSb/InP tandem, AlAsSb/InP/InGaAsP triple, and AlAsSb/InP/InGaAsP/GaAsSb quadruple junction solar cell designs and the highest efficiencies obtained for these cells were 29.9%, 36.69%, and 42.79%, respectively, under AM1.5 spectrum without any sun concentration. This lattice-matched quadruple junction structure gives the opportunity of having high efficiency without wafer bonding.

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A new method to determine the diode ideality factor of real solar cell using Lambert W-function

Cited by 97 publications

References 14 publications

A Model for the Operation of Perovskite Based Hybrid Solar Cells: Formulation, Analysis, and Comparison to Experiment

A Model for the Operation of Perovskite Based Hybrid Solar Cells: Formulation, Analysis, and Comparison to Experiment

Chosen Aspects Of Investigations Of Solar Cells With The Laser Beam Induced Current Technique

Modeling lattice-matched InP-based multijunction solar cells

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